Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality
Abstract We propose new formulae for the two-loop n-point D-dimensional integrands of scattering amplitudes in Yang-Mills theory and gravity. The loop integrands are written as a double-forward limit of tree-level trivalent diagrams, and are inferred from the formalism of the two-loop scattering equ...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2019)049 |
| _version_ | 1819176134442483712 |
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| author | Yvonne Geyer Ricardo Monteiro Ricardo Stark-Muchão |
| author_facet | Yvonne Geyer Ricardo Monteiro Ricardo Stark-Muchão |
| author_sort | Yvonne Geyer |
| collection | DOAJ |
| description | Abstract We propose new formulae for the two-loop n-point D-dimensional integrands of scattering amplitudes in Yang-Mills theory and gravity. The loop integrands are written as a double-forward limit of tree-level trivalent diagrams, and are inferred from the formalism of the two-loop scattering equations. We discuss the relationship between the formulae for non-supersymmetric theories and the Neveu-Schwarz sector of the formulae for maximally supersymmetric theories, which can be derived from ambitwistor strings. An important property of the loop integrands is that they are expressed in a representation that includes linear-type propagators. This representation exhibits a loop-level version of the colour- kinematics duality, which follows directly from tree level via the double-forward limit. |
| first_indexed | 2024-12-22T21:05:56Z |
| format | Article |
| id | doaj.art-cab1e47b50ce4343b013d4cb2faeab0d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T21:05:56Z |
| publishDate | 2019-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-cab1e47b50ce4343b013d4cb2faeab0d2022-12-21T18:12:41ZengSpringerOpenJournal of High Energy Physics1029-84792019-12-0120191214610.1007/JHEP12(2019)049Two-loop scattering amplitudes: double-forward limit and colour-kinematics dualityYvonne Geyer0Ricardo Monteiro1Ricardo Stark-Muchão2School of Natural Sciences, Institute for Advanced StudyCentre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonCentre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonAbstract We propose new formulae for the two-loop n-point D-dimensional integrands of scattering amplitudes in Yang-Mills theory and gravity. The loop integrands are written as a double-forward limit of tree-level trivalent diagrams, and are inferred from the formalism of the two-loop scattering equations. We discuss the relationship between the formulae for non-supersymmetric theories and the Neveu-Schwarz sector of the formulae for maximally supersymmetric theories, which can be derived from ambitwistor strings. An important property of the loop integrands is that they are expressed in a representation that includes linear-type propagators. This representation exhibits a loop-level version of the colour- kinematics duality, which follows directly from tree level via the double-forward limit.https://doi.org/10.1007/JHEP12(2019)049Scattering AmplitudesDuality in Gauge Field Theories |
| spellingShingle | Yvonne Geyer Ricardo Monteiro Ricardo Stark-Muchão Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality Journal of High Energy Physics Scattering Amplitudes Duality in Gauge Field Theories |
| title | Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality |
| title_full | Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality |
| title_fullStr | Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality |
| title_full_unstemmed | Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality |
| title_short | Two-loop scattering amplitudes: double-forward limit and colour-kinematics duality |
| title_sort | two loop scattering amplitudes double forward limit and colour kinematics duality |
| topic | Scattering Amplitudes Duality in Gauge Field Theories |
| url | https://doi.org/10.1007/JHEP12(2019)049 |
| work_keys_str_mv | AT yvonnegeyer twoloopscatteringamplitudesdoubleforwardlimitandcolourkinematicsduality AT ricardomonteiro twoloopscatteringamplitudesdoubleforwardlimitandcolourkinematicsduality AT ricardostarkmuchao twoloopscatteringamplitudesdoubleforwardlimitandcolourkinematicsduality |